On higher order K-bonacci matrices

TL;DR

This paper introduces higher order K-bonacci matrices, explores their fundamental properties, and reveals new relations within their recurrence patterns, extending previous work in the field.

Contribution

The paper presents a novel generalization of K-bonacci matrices and investigates their properties and relations, expanding the mathematical understanding of these matrices.

Findings

Established basic properties of higher order K-bonacci matrices.

Discovered new relations satisfying K-bonacci recurrence.

Generalized previous work by Z. Cheng-Heng.

Abstract

In this paper, we have constructed the higher order k-bonacci matrices and studied some of their basic properties. We have also shown that these matrices satisfying some new and interesting relations in k-bonacci recurrence. This is the interesting generalization of the work of Z. Cheng-Heng [1, 2].